Functional Analysis, Harmonic Analysis( on Hypergroups, Groups, Semigroups ), Amenability, Banach Algebras, Fixed Point Theory, Fourier Algebras, Operator Space Theory
Courses
Real Analysis (Measure and Integration) , Functional Analysis , Amenability , Analysis on Semigroups , Topics in Fixed Point Theory , Harmonic Analysis
Work Experience
Supervision of 58 Msc students (50 students in mathematics and 8 students in mathematical education)
supervision of PhD studends:
Suprevision of PhD students
Mortaeza Essamaili, Cohomological Properties of Semigroup Algebras,March 2012 ( also in persian ,Esphand 1390)
Hasan Pourmahmood, The First Cohomology Group of Banach Algebras and Semigroup Algebras,2010 (also in Persian ,1389).
Abasalt Bodaghi, The redltion of derivations and homomorphisms on Banach algebras, 2009 (Bahman 1387).
G. Bageri Bardi, Infinite Matrices over Completely Contractive Banach algebra,2008 (Shahrivar 1387).
Seyed Mohammad Tabatabaie, Some extensions on hypergroup algebras,2008 ( Khordad 1387).\
M. H .Sattari, On The Triangular Banach Algebras,2008 ( Bahman 1386).
Gh. MohajeriMinaei, Convolution Algebras on R+,2007 (Farvardin 1386).
A.Mahmodi Kebria, Amenability, Super Amenability on Banach Algebras, 2006(Tir1384).
Shahram Saeidi, The nonlinear ergodic theorems and strong convergence theorems,2006 (1384).
Kamran Reihani, C*-algebras and representation theory of low dimensional Lie groups,2005 (Farsi 1383)Taher
Yazdanpanah, Ideal Amenability of Banach Algebras and Weak Amenability of Some Classes of Banach
Gholamreza Zabandan,Algebras,2005( Bahman 1383). Amenability, Weak and2-Weak Amenability of Weighted
Hamidreza Rahimi,Convolution Algebras,2004(1383) Topological Tensor Product of Topological Semigroups,2004
(1383).A. Gffari, Multipliers and operators on semigroups and hypergroups and their second duals, 2002(Farsi, Azar mah 1381).
J. Rooin, Inequalities and applications,2002(1380).
M.Mardanbegi, Amenability of Banach algebras,2001(1380).
Ali Ebadian, Real Lipschitz algebras and real group algebras, 2000 (1380).
S.M.S Modarres Mosaddegh, Topological centers and amenability of hypergroup algebras, measure algebras and related topics,1999,(Mehr 1375).
Kh Pourbarat, Left Amenability of Groups and Hypergroups ,1996 (in persian,1375).
Dj. Laali, Arens Regularity of General Measure Algebras, 1995.
References
Selected Publications
Alireza Medghalchi and Hamed Nikpay, Characterizing injective operator space for which I11(V)=B(H). To appear in Publ. Math.Debrecen.
M.Amini, A.R. Medghalchi, Restricted Algebras on Inverse Semigroup- I -Positive definite fuctions, IJMMS., Volume 2011ID324821, doi: 101165/2011/4248821.
M. Essmail, M.Rostami, and A.R.Medghalchi, Pseudo-contractibility and Pseudo-amenability of semigroup algebras, Arch. Math. 97 (2011), 167-177.
A.Bodaghi, M.Ettefagh,M.Eshaghi Gordji and A.R.Medghalchi,Module Structures on Iterared Dulas Of Banach Algebras, To appear in An.St.Univ.Ovidius Constanta.
A.R.Medghalchi and H.Pourmahmood-Aghababa, On Module Extension Banach Algebras, Bulletin of the Iranian Mathematical Society, Vol. 37.No 4(2011), pp171-183.
A.R.Medghalchi and H.Pourmahmood-Aghababa, Figa-Talamanca-Herz Algebras for Restricted Inverse Semigroups and Clifford Semigroups,To appear in JAAP
M.Amini,A.R.Medghalchi, Foureir and Herz algebras of a compact tensor hypergroup,Acta.Mathematica Vietnamica.Vol 35,Number 2,2010.pp.263-274.
A.R.Medghalchi and H.Pourmahmood-Aghbaba, The first cohomology group of module extesion Banach algebras, Rocky Moutain Journal of Mathematics, Volume 5, 2011.
A.Bodaghi, M.Eshaghi Gordji and A.R.Medghalchi, A generalization of the weak amenablitity of Banach algebras, Banach J.Math. Anal. 3(2009) No. 1, 131-142.
A. R. Medghalchi and M. H. Sattari, Biflatness and biprojectity of triangular Banach algebras, Bulletin of the Iranian Mathematical Society,Vol 34.,No2(2008) PP118-120.
G. Bageri, A. R. Medghalchi, N. Spronk, Operater valued Fourier-Stieltjes and measure algebras,Huoston J. of Math. Vol.36, No4, 2010.
A. R. Medghalchi and Shahram Saeidi, Weak and strong convergence for some of nonexpansive mappings, Taiwanese Journal of Mathematics, Vol. 12, No 9, PP. 2489-2499, December 2008.
A. R. Medghalchi and S.M. Tabatabaie, Special subspaces on hypergroup algebras, To appear in Publicationes Mathematicae.
A. R. Medghalchi and S.M. Tabatabaie,Contraction Semigroups on Hypergroups, Scientia Mathematica Japonica,e-2008. 571-584.
A. R. Medghalchi and S.M. Tabatabaie, w-Independent and dissociate sets on compact commutative strong hypergroups, Journal of sciences, IRI19920:159-168(2008).
A.R. Medghalchi and S.M. Tabatabaie, An extension of the spectral mapping theorem, IJMMS, 2008.
M. Amini and A.R.Medghalchi, Spectrum of the Fourier -Stieltjes algebra of a semigroup, J. of Math. Sciences and Informatics Vol .1, No. 2 (2006),pp 1-8.
M. Amini, and A.R. Medghalchi, Restricted algebras on inverse semigroups I,representation theory Math. Nach.279, No. 16,1-10(2006).
A.R. Medghalchi, M.H. Sattari, T. Yazdanpanah, Amenability and Weak Amenability of Triangular Banach Algebras, Bulletin of the Iranian Mathematical Society Vol. 31, No. 2(2005), pp 57-69.
A.R. Medghalchi & T. Yazdanpanah, Problems concerning n-weak amenability of a Banach algebra, Czechoslovak Mathematical Journal 55 (130) (2005),863-876.
A. Ebadian, A.R. Medghalchi, The carrier space of a real group algebra, J.Analysis. Appl. 3(2005), No. 3, 163-174.
A. Ghaffari, A.R. Medghalchi, The socle and finite dimensionality of some Banach algebra, Proc. Indian. Acad. Sci. Math. Sci. 115(2005) No. 3, 327-330.
A.R. Medghalchi, T. Yazdanpanah, n-weak amenability and strong double limit criterion, Bull. Korean Math. Soc. 42 (2005), No. 2 pp. 359-367.
-------,-------, The ideal structure on the tensor product of topological semigroup, IJAM, Vol. 15, No. 3(2004) 201-214.
A.R. Medghalchi, H.R. Rahimi, The ideal structure on the tensor product of topological semigroups, IJAM, Vol. 15, No. 2 (2004) 165-177.
K. Reihani, A.R. Medghalchi, Simple infinite dimentional quotients on the group C*-algebras of certain discrete 6-dimentional nilpotent groups, Indag. Math. (N.S)16(2005) No. 1, 91-115.
A.R. Medghalchi, H.R. Rahimi, Topological Tensor products of topological semigroups and their compactifications Scientiae Mathematical Japonicae ,62, No. 1 (2005), 57-64, e-2005, 223-230.
A. Ebadian, A.R. Medghalchi, Real group algebras, Iranian Journal of Science and Technology, Transaction A, Sci. 28(2004), No. 2, 289-298.
M.Amini, A.R. Medghalchi, Fourier algebras on tensor hypergroups, Contemporary Mathematics, Vol. 363,2004, A. M. S.
M. Amini, A.R. Medghalchi, Fourier Algebra on Topological Fundation Semigroups, SemiForum, Vol. 68(2004), 322-334.
M. Amini, A.R. Medghalchi, Amenability of Algebras R(S), F(S) of a topological semigroups, Scientiae Mathematicae Japonicae, Vol. 60, (2004), No. 3, 469-473.
A,Ghaffari, A.R. Medghalchi, Characterization of operators on dual of hypergroups which commute with translations and Convolutions, Acta Mathematica Sinica, English Seires April 2004, Vol. 20, No. 2, 201-208.
A.R. Medghalchi, J. Rooin, New Proofs for Ky Fan’s Inequality and two of its variant, IJMA, Vol. 10, No. 1. (2002) 51-57.
A.R. Medghalchi, J. Rooin, Some Refinements of the Traingle and Cauchy Schwartz Inequalities in Inner Product Spaces, Inequality Theory and Applications, Vol 3. Nova Science Publications, USA, (2003) 133-138.
A.R. Medghalchi, Cohomology on hypergroup algebras, Studia Scientiarum Mathematicarum, Hungarica 39 (2002), 297-307.
A.R. Medghalchi, Multipliers on L(S),L(S)** and LUC(S)* for a locally compact semigroup, IJMMS, Vol. 29, No. 6(2002) 355-359.
A.R. Medghalchi, Amenability and weak amenability of L(X)**,M(X)**, J. Analysis, 11(2003) 53-59.
M. Mardanbeigi, A.R. Medghalchi, A new characterization of amenability of a Banach algebra, J. Science, Islamic Azad University, Vol. 10, No.37 (2000) 677-682.
A.R. Medghalchi, S. M. S Modarres, Amenability of the second dual of hypergroup algebras, Acta Mathematica Hungarica, Vol. 86(4) (2000) 335-342.
A.R.Medghalchi ,Weighted hypergroup algebras and their second duals, Journal of Science and Technology, Vol. 24, No. 4, Transaction A, (2000) 419-424. Dj.Laali, A.R. Medghalchi, Finiteness conditions and regularity of hypergroup algebras, Far East. J. Math. Sci (FJMS)1(1)(1999),61-77.
A.R. Medghalchi, M(X)** determines X, Far East J. Math. Sci. 6 (1)(1998),109-114.
A,R. Medghalchi, The Isometric Isomorphisms on the Second Dual Algebras of Hypergroups, Acta Mathematica Hungarica , 74(1-2) ,1997,167-175.